GCF of 7963/880, 6464/7768
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7963/880, 6464/7768 i.e 1/854480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7963/880, 6464/7768.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 7963/880,6464/7768?
Given fractions are 7963/880,6464/7768
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 7963/880,6464/7768, numerators are 7963,6464
Denominators are 880,7768
The GCF of 7963,6464 is 1 .
LCM of 880,7768 is 854480.
The greatest common factor of 7963/880,6464/7768 = [GCF of 7963,6464]/[LCM of 880,7768]= 1/854480
Therefore, the GCF of 7963/880,6464/7768 is 1/854480.
To find the highest common factor of 7963,6464, we have to find the factors of both numbers and list the highest common factor.
The factors of 7963 are 1, 7963
The factors of 6464 are 1, 2, 4, 8, 16, 32, 64, 101, 202, 404, 808, 1616, 3232, 6464
The HCF of 7963,6464 is 1.
Lets's calculate GCF of 7963,6464
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7963,6464 By Matching Biggest Common Factor Method
Now, list down the factors of 7963
:1,7963
Now, list down the factors of 6464
:1,2,4,8,16,32,64,101,202,404,808,1616,3232,6464
Greatest Common Factor
We found the factors 7963,6464 . The biggest common factor number is the GCF number.
So the greatest common factor 7963,6464 is 1.
Lets's calculate LCM of 880,7768
| 2 | 880, 7768 |
| 2 | 440, 3884 |
| 2 | 220, 1942 |
| 110, 971 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 110 x 971 = 854480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/854480
Therefore, the GCF of Fractions 7963/880,6464/7768 is 1/854480
Least Common Multiple of 880,7768 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 880,7768 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(880,7768) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(880,7768) x common factors =8 x 1 = 8
LCM(880,7768) = ( 880 × 7768 ) / 8
LCM(880,7768) = 6835840 / 8
LCM(880,7768) = 854480
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FAQs on GCF of Fractions of 7963/880, 6464/7768
1. What is the HCF of 7963,6464?
The HCF of 7963,6464 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 7963/880, 6464/7768?
Answer: GCF of Numerators as per given numbers 7963/880, 6464/7768 is
GCF of Numerators i.e. for 7963,6464 is 1
LCM of denominators i.e. for 880,7768 is 854480.
Thus, GCF of Fractions is 1/854480.Finally, GCF of Fractions for 7963/880, 6464/7768 is 1/854480.